Entropy solutions for strongly nonlinear parabolic problems with lower order terms in Museliak-Orlicz spaces

Abstract

We give the existence of an entropy solutions to a strongly nonlinearparabolic problem having two lowers order terms. We assume that thenonlinear term is an integrable function on R and satisfying the sign condition,while the second term is assumed to be L1(Q) in Musielak-Orlicz-Sobolevspaces.